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Commutator of the matrices of the rotation group

  1. May 28, 2015 #1
    Consider the rotation group ##SO(3)##.

    I know that ##R_{x}(\phi) R_{z}(\theta) - R_{z}(\theta) R_{x} (\phi)## is a commutator?

    But can this be called a commutator ##R_{z}(\delta \theta) R_{x}(\delta \phi) R_{z}^{-1}(\delta \theta) R_{x}^{-1} (\delta \phi)##?
     
  2. jcsd
  3. May 28, 2015 #2

    Fredrik

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    I haven't seen anyone use that term for anything other than expressions of the form AB-BA.
     
  4. May 28, 2015 #3
    I found it in page 31 of Ryder's 'Quantum Field Theory' - second edition.
     
  5. May 28, 2015 #4

    mathwonk

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